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1468926160 = 245131412429
BaseRepresentation
bin101011110001110…
…0000100011010000
310210101001011212121
41113203200203100
511002021114120
6401432104024
751254444362
oct12743404320
93711034777
101468926160
11694196a69
1234bb35014
131a54325a0
14dd134d32
1588e5c5aa
hex578e08d0

1468926160 has 40 divisors (see below), whose sum is σ = 3677967720. Its totient is φ = 542372352.

The previous prime is 1468926149. The next prime is 1468926163. The reversal of 1468926160 is 616298641.

It can be written as a sum of positive squares in 4 ways, for example, as 26749584 + 1442176576 = 5172^2 + 37976^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468926163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705175 + ... + 707254.

It is an arithmetic number, because the mean of its divisors is an integer number (91949193).

Almost surely, 21468926160 is an apocalyptic number.

1468926160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468926160 is an abundant number, since it is smaller than the sum of its proper divisors (2209041560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1468926160 is a wasteful number, since it uses less digits than its factorization.

1468926160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412455 (or 1412449 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 1468926160 is about 38326.5725052476. The cubic root of 1468926160 is about 1136.7544292689.

The spelling of 1468926160 in words is "one billion, four hundred sixty-eight million, nine hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1412429 2824858 5649716 7062145 11299432 14124290 18361577 22598864 28248580 36723154 56497160 73446308 91807885 112994320 146892616 183615770 293785232 367231540 734463080 1468926160